105855820 has 48 divisors (see below), whose sum is σ = 254903040. Its totient is φ = 36172224.

The previous prime is 105855773. The next prime is 105855833. The reversal of 105855820 is 28558501.

It is a happy number.

It is a super-2 number, since 2×105855820² = 22410909255744800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47491 + ... + 49669.

It is an arithmetic number, because the mean of its divisors is an integer number (5310480).

Almost surely, 2^105855820 is an apocalyptic number.

105855820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105855820 is an abundant number, since it is smaller than the sum of its proper divisors (149047220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105855820 is a wasteful number, since it uses less digits than its factorization.

105855820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 105855820 is about 10288.6257585744. The cubic root of 105855820 is about 473.0476763919.

The spelling of 105855820 in words is "one hundred five million, eight hundred fifty-five thousand, eight hundred twenty".